In this article, we develop a generalization of finitary birepresentation theory applicable to Soergel bimodules for infinite Coxeter groups. We establish a reduction process for the classification of simple birepresentations of almost finitary bicategories, and consider in detail the case of Soergel bimodules in extended affine type A.
Mackaay, M., Miemietz, V., & Dos Santos Santana Forte Vaz, P. (2026). Almost finitary birepresentation theory and applications to affine Soergel bimodules. Submitted. https://doi.org/10.48550/arXiv.2604.20604 (Original work published 2026)